Question

Problem 3.12

Each of the following vectors is given in terms of its x- and y-components.

Part A vx = 16 m/s , vy = 31 m/s . Find the vector's magnitude.

Part B vx = 16 m/s , vy = 31 m/s . Find the vector's direction.

Part C ax = 20 m/s2 , ay = 10 m/s2 . Find the vector's magnitude.

Part D ax = 20 m/s2 , ay = 10m /s2 . Find the vector's direction

Answer #1

From the x and y components given, find the direction and
magnitude of the resultant. a. Fy = 120 N, Fx = 345 N
b. vy = 31 m/s, vx = 8 m/s
c. ax = -15 m/s2, ay = 12 m/s2

A soccer ball is kicked in such a manner that the x and
y components of its position at any time are given by
x = (19.6 m/s)t
and
y = (14.5 m/s)t − (4.90 m/s2)t2,
where x and y will be in meters when
t is in seconds.
(a) Determine expressions for the x and y
components of its velocity at any time. (Use the following as
necessary: t.)
vx
= m/s
vy
= m/s
(b) Determine expressions for...

1. The position of a bird in the xy-plane is given by ?⃗ =
(3.0?−∝ ?)?̂+ ?? 2 ?̂where ∝= 1.6 ?/? and ? = 0.8 ?/? 2 . a) What
are Vx(t) and Vy(t), x and y components of the velocity of the bird
as a function of time? b) What is the bird’s net velocity at 3.0 s
(magnitude and direction)? c) What are ax(t) and ay(t), x and y
components of the acceleration of the bird as...

Each of the following vectors is given in terms of its
x and y components. Find the magnitude of each
vector and the angle it makes with respect to the +x
axis.
a- AxAx = -1, AyAy = -6. Find the magnitude of this vector.
(Express your answer to two significant figures.)
b- AxAx = -1, AyAy = -6. Find the angle this vector
makes with respect to the +x axis. Use value from -180∘∘
to +180 ∘∘. (Express your...

A particle moves in the x-y plane under a constant acceleration
with scalar components ax = 2 m/s2 and ay = -3 m/s2 . It starts
from the origin at t=0 with an initial speed of 6m/s in the
positive y direction. What is the time t>0 at which the scalar
components of particle's position are equal to one another?

Consider the three velocity vectors listed below:
• A ⃗ with a magnitude of 25.0 m/s in the direction 25◦ S of
W
• B⃗ with a magnitude of 18.5 m/s due N
• C⃗ with a magnitude of 22.0 m/s in the direction 35◦ E of
S
Draw a vector diagram showing all three vectors and calculate
the x- and y-components of each vector. Use a coordinate system
where the +x direction points east and the +y direction points...

computer model displays the motion of a particle on a coordinate
system in real time. At time t = 0, the particle is at the origin
of the coordinate system and has velocity components vx = 0 and vy
= 5.2 m/s. The particle has acceleration components of ax = −4.4
m/s2 and ay = 0. (a) What are the x and y positions of the particle
at t = 6.0 s? x = m y = m (b) What...

.The x and y components of the velocity of a particle are: vx =
(2 t + 4) p / s vy = (8 ⁄ y) p / s Initially, the particle is
located at the coordinates x = 1 and y = 0. Determine the position,
the magnitude of the velocity and the magnitude of the particle's
acceleration when t = 2 s.

The x and y components of the velocity of a particle are
Vx=(2t + 4)ft/s &
Vy=(8/y)ft/s. Initially, the particle if found at
coordinates x=1 and y=0.
Determine the position, magnitude of velocity, and magnitude of
the acceleration of the particle when t = 2s

IP A particle passes through the origin with a velocity of
(6.8m/s)y^.
Part A If the particle's acceleration is (−5.0m/s2)x^, what are
its x and y positions after 5.0 s ?
x, y =
m
Part B
If the particle's acceleration is (−5.0m/s2)x^, what are
vx and vy after 5.0 s ?
Express your answers using two significant figures separated by
a comma.
vx, vy =
m/s

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